ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

• -a A
• a + 1 B
• -2 -a C
• None of these D

The set {1,-1, i, -i} form a group under

• Addition A
• Multiplication B
• Subtraction C
• None D

To each element of a group there corresponds ............. inverse element

• Two A
• One B
• No C
• Three D

The graph of a quadratic function is

• Circle A
• Straight line B
• Parabola C
• Triangle D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition D

• a constant function A
• linear function B
• quadratic funtion C
• none of these D

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None D

The set of all positive even integers is

• Not a group A
• A group w.r.t. subtraction B
• A group w.r.t. division C
• A group w.r.t. multiplication D

• A A
• A' B
• U C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

• Irrational numbers A
• Even numbers B
• Rational numbers C
• Whole numbers D

• 
  A
• 
  B
• 
  C
• none of these D

If A⊆ B, and B is a finite set, then

• n (a) < n(B) A
• n(B)<(A) B
• n(A)≤ n (B) C
• n(A)≥ n(B) D

• A = C A
• A = B B
• B = C C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

What is the number of elements of the power set of {0, 1}

• 1 A
• 2 B
• 3 C
• 4 D

• 1/x A
• -x B
• 2x C
• 0.5 x D

• Addition A
• Multiplication B
• Division C
• Both addition and multiplication D

A = B if

• 
  A
• 
  B
• 
  C
• A is equivalent to B D

For any two sets A and, A ⊆ B if

• x ∈ A ⇒ x ∈ B A
• x ∉ A ⇒ x ∉ B B
• x ∈ A ⇒ x ∉ B C
• None of these D

The set { {a, b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set D

• 
  A
• A B
• A' C
• U D

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

• A = B A
• B = C B
• A≠ C C
• A ≠ B D

The set { {a,b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set D

Under multiplication, solution set of is

• Groupoid A
• Abelian group B
• Semi group C
• All of these D

Φset is the ______ of all sets?

• Subset A
• Union B
• Universal C
• Intersection D

The set {-1,1} is

• Group under the multiplication A
• Group under addition B
• Does not form a group C
• Contains no identity element D

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

• 4 A
• 3 B
• 2 C
• 1 D

Power set of X i.e P(X) _______ under the binary operation of union U

• Forms a group A
• Does not form a group B
• Has no identity element C
• Infinite set although X is infinite D

The set of natural is a semi group w.r.t

• Addition A
• Division B
• Subtraction C
• None of these D